Solve (x)(x-20)(x-39)

$$(x)(x-20)(x-39)$$

Evaluate

$$x\left(x-39\right)\left(x-20\right)$$

Solution Steps

Use the distributive property to multiply x by x-20.

$$\left(x^{2}-20x\right)\left(x-39\right)$$

Apply the distributive property by multiplying each term of x^{2}-20x by each term of x-39.

$$x^{3}-39x^{2}-20x^{2}+780x$$

Combine -39x^{2} and -20x^{2} to get -59x^{2}.

$$x^{3}-59x^{2}+780x$$

Expand

$$x^{3}-59x^{2}+780x$$

Solution Steps

Use the distributive property to multiply x by x-20.

$$\left(x^{2}-20x\right)\left(x-39\right)$$

Apply the distributive property by multiplying each term of x^{2}-20x by each term of x-39.

$$x^{3}-39x^{2}-20x^{2}+780x$$

Combine -39x^{2} and -20x^{2} to get -59x^{2}.

$$x^{3}-59x^{2}+780x$$